2-3k=-5(k+2)-1

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Solution for 2-3k=-5(k+2)-1 equation: 


Simplifying
2 + -3k = -5(k + 2) + -1

Reorder the terms:
2 + -3k = -5(2 + k) + -1
2 + -3k = (2 * -5 + k * -5) + -1
2 + -3k = (-10 + -5k) + -1

Reorder the terms:
2 + -3k = -10 + -1 + -5k

Combine like terms: -10 + -1 = -11
2 + -3k = -11 + -5k

Solving
2 + -3k = -11 + -5k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '5k' to each side of the equation.
2 + -3k + 5k = -11 + -5k + 5k

Combine like terms: -3k + 5k = 2k
2 + 2k = -11 + -5k + 5k

Combine like terms: -5k + 5k = 0
2 + 2k = -11 + 0
2 + 2k = -11

Add '-2' to each side of the equation.
2 + -2 + 2k = -11 + -2

Combine like terms: 2 + -2 = 0
0 + 2k = -11 + -2
2k = -11 + -2

Combine like terms: -11 + -2 = -13
2k = -13

Divide each side by '2'.
k = -6.5

Simplifying
k = -6.5

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